Answer:
Step-by-step explanation:
we know that
The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK
step 1
Find the midpoint JK
The formula to calculate the midpoint between two points is equal to
we have
substitute the values
step 2
Find the slope JK
The formula to calculate the slope between two points is equal to
we have
substitute
step 3
Find the slope of the line perpendicular to the segment JK
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
we have
----> slope of segment JK
Find m_2
substitute
step 4
Find the equation for the right bisector of the line segment JK
The equation in point slope form is equal to
we have
substitute
Convert to slope intercept form
isolate the variable y
Answer:A:3/24
Step-by-step explanation:
It’s basic math
Step-by-step explanation:
vol =πr²h
22/7×8×8×3
= 603.2
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'
so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out
so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11
11x+5
11(5)+5
55+5=60
side b=60
12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
Answer:
16 boxes
Step-by-step explanation:
160+50x=1000
Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.
(How to solve for x:
Get x by itself by subtracting 160 to both sides.
50x=1000-160
50x=840
Divide both sides by 50.
x=16.8)
